Condition for Points in Complex Plane to form Isosceles Triangle/Examples

Examples of Use of Condition for Points in Complex Plane to form Isosceles Triangle

Vertices at $1 + 2 i$, $4 - 2 i$, $1 - 6 i$

Let $A = z_1 = 1 + 2 i$, $B = z_2 = 4 - 2 i$ and $C = z_3 = 1 - 6 i$ represent on the complex plane the vertices of a triangle.

Then $\triangle ABC$ is isosceles, where $B$ is the apex.